Order of topics

Autumn term 1Functions and equations- Terminology: mapping, domain, range, image, natural numbers, integers, rational numbers and real numbers.- Composite function- Inverse functionTransformation of graphs- Translation- Stretch- Reflections in the axes- Composite transformationsThe quadratic function- The properties of the graph of a quadratic- Solving quadratics, including factorising, completing the square and the quadratic formula- DiscriminantRational functions- Reciprocal- The graph of a rational function- AsymptotesTrigonometry- Sine and cosine rules- Area of a triangle using sine- Straight lines through the origin

Autumn term 2Radians- Radian measure of angles- Length of an arc- Area of a sectorCircular functions- sine and cosine of an angle in terms of the unit circle- Defining tan in terms of sine and cosine- Special angles values of sine, cosine and tan- Double angle formulae- Trigonometric identities- Period and amplitude of sinx, cosx and tanx